data representation number

STARTER – CRACK THE CODE

15 21 20 3 15 13 5

9

3 1 14

3 15 14 22 5 18 20

21 19 9 14 7

2 9 14 1 18 25

STARTER – CRACK THE CODE

15 21 20 3 15 13 5

O U T C O M E

9

I

3 1 14

C A N

3 15 14 22 5 18 20

C O N V E R T

21 19 9 14 7

U S I N G

2 9 14 1 18 25

B I N A R Y

DATA R

EPRES

ENTA

TION -

NUMBER

YE

AR

8 –

CO

MP

UT

I NG

OUTCOMES

• All students will be able to convert using 8 bit numbers

• Most students will be able to convert between binary, denary and binary to hexadecimal.

• Some students will be able to convert confidently between binary, denary and hexadecimal

Objective:

I can convert using binary, denary and hexadecimal numbers

HOW DO COMPUTERS TALK?

Objective:


EXAMPLE

128 64 32 16 8 4 2 1

0 0 0 0 1 0 0 1

1 = On0 = Off

Take the “On” numbers and add them together

8+1 = 9

So;

1001 in Binary is equal to the denary (integer)

9

Objective:


TASK ONE - A

Binary Denary

11100101

01011010

10110101

01000101

11011111

11110000

10000000

11111111

2) So how ….. can I represent the number 256 in

binary?

1

128 64 32 16 8 4 2 1

Objective:


TASK ONE - A

Binary Denary

11100101 229

01011010 90

10110101 181

01000101 69

11011111 223

11110000 240

10000000 128

11111111 255

2) So how ….. can I represent the number 16 in

binary?

1

128 64 32 16 8 4 2 1

Objective:


CAN WE MAKE NUMBERS INTO BINARY?

So we know that 00000110 is equal to 5 but how to we make numbers into

binary code.

Simple!

Objective:


DENARY TO BINARY

99 =

Why? 64+31+2+1 = 99

128 64 32 16 8 4 2 1

0 1 1 0 0 0 1 1

Objective:


TASK ONE – B – CONVERT THE DENARY

Binary Decimal

8

12

56

93

121

187

209

254

2) So what is 110110100 in denary form?

1

128 64 32 16 8 4 2 1

Objective:


TASK ONE – B – CONVERT THE DENARY

Binary Decimal

00001000 8

00001100 12

00111000 56

01011101 93

01111001 121

10111011 187

11010001 209

11111110 254

2) So what is 110110100 in denary form?

1

128 64 32 16 8 4 2 1

Objective:


PROGRESS CHECK

Can we all confidently

convert using 8 bit binary numbers?

Objective:


THE SOLUTION TO BIGGER NUMBERS ….

Sometimes binary numbers get really long – so we use Hexadecimal to

shorten them – making them easier to store and remember.

In this example, the relatively small number of 42,780 in binary is

1010011100011100

Objective:


CONVERSION TO HEXADECIMAL

1010 0111 0001 1100

10 7 1 12

A 7 1 C

1) Split the binary into groups of 4

2) Using the table system convert to denary numbers

3) Use the Hex table to convert

8 4 2 1

1 0 1 0

8 2 4 1

0 1 1 1

8 4 2 1

0 0 0 1

8 4 2 1

1 1 0 0

0 1 2 3 4 5 6 7 8 9 10

11

12

13

14

15

0 1 2 3 4 5 6 7 8 9 A B C D E F

TASK TWO A – BINARY TO HEXBinary

Hex

0 0

1 1

2 2

3 3

4 4

5 5

6 6

7 7

8 8

9 9

10 A

11 B

12 C

13 D

14 E

15 F

Convert the following from Binary to Hexadecimal:

1. 1001 1111 1010 1110 1110

2. 1110 0010 1110 0010 1101

3. 1101 0010 0100 0000 1110

4. 0101 0100 1001 0100 0100

5. 0001 0001 1110 1110 1110 Convert:

8F to Decimal 6F8AB to

Binary

TASK TWO A – BINARY TO HEXBinary

Hex

0 0

1 1

2 2

3 3

4 4

5 5

6 6

7 7

8 8

9 9

10 A

11 B

12 C

13 D

14 E

15 F

Convert the following from Binary to Hexadecimal:

1. 1001 1111 1010 1110 1110 9FAEE

2. 1110 0010 1110 0010 1101 E2E2D

3. 1101 0010 0100 0000 1110 D240E

4. 0101 0100 1001 0100 0100 54944

5. 0001 0001 1110 1110 1110 11EEE Convert:

8F to Decimal 143 6F8AB to Binary

1101111100010101011

PLENARYUsing what you have learnt this lesson answer the

following questions;

1. Convert the denary number 110 to binary.

2. Convert the binary for 110 to Hexadecimal.

3. Convert the Hexadecimal E2 to binary

4. Convert the binary for E2 to denary

Objective:


ProgressAchievement

Challenge

Objective:


data representation number

Education